Given are five observations for two variables, x and y. x 1 2 3 4 5 y 3 8 6 11 14 Round your answers to two decimal places. Use Table 1 of Appendix B. a. Using the following equation: - 1 (x*x)² + in Σ(x-x)² Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: y±1/2 Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Spred s√1+ + n (x* - x)² ΣΟ - Estimate the standard deviation of an individual value of y when x = 3. d. Using the following expression: y⚫ ±1/2³ pred Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign. to

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given are five observations for two variables, x and y.
x
1 2 3 4 5
y 3 8 6 11 14
Round your answers to two decimal places. Use Table 1 of Appendix B.
a. Using the following equation:
-
1
(x*x)²
+
in
Σ(x-x)²
Estimate the standard deviation of ŷ* when x = 3.
b. Using the following expression:
y±1/2
Develop a 95% confidence interval for the expected value of y when x = 3.
to
c. Using the following equation:
Spred s√1+
+
n
(x* - x)²
ΣΟ
-
Estimate the standard deviation of an individual value of y when x = 3.
d. Using the following expression:
y⚫ ±1/2³ pred
Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign.
to
Transcribed Image Text:Given are five observations for two variables, x and y. x 1 2 3 4 5 y 3 8 6 11 14 Round your answers to two decimal places. Use Table 1 of Appendix B. a. Using the following equation: - 1 (x*x)² + in Σ(x-x)² Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: y±1/2 Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Spred s√1+ + n (x* - x)² ΣΟ - Estimate the standard deviation of an individual value of y when x = 3. d. Using the following expression: y⚫ ±1/2³ pred Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign. to
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